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Dergiler / Gazi University Journal of Science / 2026 / Volume: 39 Issue: 1

Exploring Nonoscillatory Solutions in Second-Order Neutral Differential Equations with Distributed Deviating Arguments

Bengü Çına(Cumhuriyet Üniversitesi)0000-0003-1294-0983
M. Tamer Senel(Erciyes Üniversitesi)0000-0003-1915-5697
Tuncay Candan(American University of Middle East)0000-0002-6603-3732
Sayfa
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Yayın Tarihi
2026-02-15
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

At the end of the paper, we give an example showing how we apply one of the theorems we have learnt.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The occurrence of oscillation and non-oscillation is common across various models in real-world applications.
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Temel Bulgular & Veri:For instance, impulsive partial neutral differential equations in mathematical biology and biomathematics often display both oscillatory and non-oscillatory solutions.
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Sonuç & Katkı:At the end of the paper, we give an example showing how we apply one of the theorems we have learnt.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Nonoscillatory solution · Second-order neutral differential equations · Distributed deviating argument

Abstract

The occurrence of oscillation and non-oscillation is common across various models in real-world applications. For instance, impulsive partial neutral differential equations in mathematical biology and biomathematics often display both oscillatory and non-oscillatory solutions. In our investigation, we establish specific criteria that guarantee the presence of non-oscillatory solutions for variable coefficient nonlinear second-order neutral differential equations with distributed deviating arguments and a forcing term. In this work, we obtained an extension of some existing results in the literature. Using the Banach contraction principle, we obtained new sufficient conditions of existence conditions. The proof of positive solutions was provided by showing the existence of a fixed point. At the end of the paper, we give an example showing how we apply one of the theorems we have learnt.

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Bu Makaleye Atıf Yap

Çına, B., Senel, M. T., Candan, T. (2026). Exploring Nonoscillatory Solutions in Second-Order Neutral Differential Equations with Distributed Deviating Arguments. Gazi University Journal of Science, Volume: 39 Issue: 1. https://doi.org/10.35378/gujs.1438589

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Kaynakça (14)

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